Efficient Solutions in Generalized Linear Vector Optimization
Optimization and Control
2017-05-22 v1
Abstract
This paper establishes several new facts on generalized polyhedral convex sets and shows how they can be used in vector optimization. Among other things, a scalarization formula for the efficient solution sets of generalized vector optimization problems is obtained. We also prove that the efficient solution set of a generalized linear vector optimization problem in a locally convex Hausdorff topological vector space is the union of finitely many generalized polyhedral convex sets and it is connected by line segments.
Cite
@article{arxiv.1705.06875,
title = {Efficient Solutions in Generalized Linear Vector Optimization},
author = {Nguyen Ngoc Luan},
journal= {arXiv preprint arXiv:1705.06875},
year = {2017}
}